1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg of morphine in the bloodstream. (a) Determine an equation for m(t), the amount of morphine in the bloodstream at time t, assuming that the amount decays at a rate proportional to its size. Simplify your final equation. (b) (b) How long will it take for the amount to drop below 0.01 mg? Round your answer to the closest hour.
1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg of morphine in the bloodstream. (a) Determine an equation for m(t), the amount of morphine in the bloodstream at time t, assuming that the amount decays at a rate proportional to its size. Simplify your final equation. (b) (b) How long will it take for the amount to drop below 0.01 mg? Round your answer to the closest hour.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. The half-life of morphine in the human bloodstream is 3 hours. Suppose there is initially 0.4 mg of morphine in
the bloodstream.
(a) Determine an equation for m(t), the amount of morphine in the bloodstream at time t, assuming that the amount decays at a rate proportional to its size. Simplify your final equation.
(b) (b) How long will it take for the amount to drop below 0.01 mg? Round your answer to the closest hour.
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